## what is the slope of the line perpendicular to the line through the points (-1,6) and (3,-4)

Question

what is the slope of the line perpendicular to the line through the points (-1,6) and (3,-4)

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6 months 2021-07-30T07:51:39+00:00 2 Answers 5 views 0

The slope of the line perpendicular to the line through the points (-1,6) and (3,-4) is -5/2.

### Step-by-step explanation:

We have to find the slope of the line perpendicular to the line through the points (-1,6) and (3,-4).

using the formula;-

m = (y²-y¹) / (x²-x¹)

Where,

• m = slope
• ( y² – y¹) = ( -4 -6 )
• ( x² – x¹) = ( 3 – 1)

plug the value and simplify.

m = ( (-4 ) – 6)/(3 – (- 1)

m = – 10 / 4

m = – 5/2

Hence, The slope of the line perpendicular to the line through the points (-1,6) and (3,-4) is -5/2.

The slope of the perpendicular line is 2/5.

Step-by-step explanation:

We want to find the slope of the line that is perpendicular to the line that passes through the points (-1, 6) and (3, -4).

Recall that the slopes of perpendicular lines are negative reciprocals of each other.

Find the slope of the original line: The slope of the perpendicular line will be its negative reciprocal.

Thus, the slope of the perpendicular line is 2/5.